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May 7, 20260 citationsOpen Access

The Identity of Structural Resolution

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AJAustin Jacobs

Key Points

  • The research aims to clarify the identity of operators in the Modal–Dependence Calculus.
  • Theoretical analysis of Modal–Dependence Calculus operators
  • Demonstration of equivalence between structural resolution and an evaluation operator
  • Assessment of binary admissibility conditions
  • Operators in the Modal–Dependence Calculus are shown to have a unified identity.
  • Dependency paths are crucial for determining admissibility.
  • Distinct classes of operators can be redefined under a single criterion.

Abstract

This paper establishes the identity of previously defined operators within the Modal–Dependence Calculus (MDC). Structural resolution, information, and stability are shown to be identical to a single evaluation operator, τ. The analysis demonstrates that all evaluative structure reduces to a binary admissibility condition determined solely by the termination of dependency paths. As a result, distinct operator classes collapse into a unified identity, yielding a minimal criterion for structural resolution: a state is admissible if and only if its dependence structure terminates at the invariant anchor.

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Cite This Study

Austin Jacobs (2026) studied this question.

synapsesocial.com/papers/69fbef86164b5133a91a35cfhttps://doi.org/10.5281/zenodo.20032997
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